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70180 = 22511229
BaseRepresentation
bin10001001000100100
310120021021
4101020210
54221210
61300524
7411415
oct211044
9116237
1070180
1148800
1234744
1325c36
141b80c
1515bda
hex11224

70180 has 36 divisors (see below), whose sum is σ = 167580. Its totient is φ = 24640.

The previous prime is 70177. The next prime is 70181. The reversal of 70180 is 8107.

70180 = T9 + T10 + ... + T74.

70180 = 52 + 62 + ... + 592.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 39204 = 176^2 + 198^2 .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2406 + ... + 2434.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

270180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83790).

70180 is an abundant number, since it is smaller than the sum of its proper divisors (97400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70180 is a wasteful number, since it uses less digits than its factorization.

70180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 70180 is about 264.9150807334. The cubic root of 70180 is about 41.2481480650.

Adding to 70180 its reverse (8107), we get a palindrome (78287).

The spelling of 70180 in words is "seventy thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 6380 7018 14036 17545 35090 70180